What is the Least Common Multiple of 80844 and 80850?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 80844 and 80850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80844 and 80850, than apply into the LCM equation.

GCF(80844,80850) = 6
LCM(80844,80850) = ( 80844 × 80850) / 6
LCM(80844,80850) = 6536237400 / 6
LCM(80844,80850) = 1089372900

Least Common Multiple (LCM) of 80844 and 80850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80844 and 80850. First we will calculate the prime factors of 80844 and 80850.

Prime Factorization of 80844

Prime Factorization of 80850

Now multiplying the highest exponent prime factors to calculate the LCM of 80844 and 80850.

LCM(80844,80850) = 2² × 3¹ × 6737¹ × 5² × 7² × 11¹
LCM(80844,80850) = 1089372900